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Finding the Fourth Proportional to 64,713.34, 97,069.92 and 20,343.97

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Solution

The fourth proportional to 64,713.34, 97,069.92 and 20,343.97 is: 30,515.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,713.34 : 97,069.92 = 20,343.97 : x
  2. Step 2: Convert to fraction form
    64,713.34/97,069.92 = 20,343.97/x
  3. Step 3: Cross multiply
    64,713.34x = 97,069.92 × 20,343.97
  4. Step 4: Simplify right side
    64,713.34x = 1,974,787,540.38
  5. Step 5: Solve for x
    x = 1,974,787,540.38/64,713.34
  6. Step 6: Final answer
    x = 30,515.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.